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Finding the Third Proportional to 124,261 and 194,387

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Solution

The third proportional to 124,261 and 194,387 is: 304,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,261 : 194,387 = 194,387 : x
  2. Step 2: Convert to fraction form
    124,261/194,387 = 194,387/x
  3. Step 3: Cross multiply
    124,261x = 194,387 × 194,387
  4. Step 4: Simplify right side
    124,261x = 37,786,305,769
  5. Step 5: Solve for x
    x = 37,786,305,769/124,261
  6. Step 6: Final answer
    x = 304,088.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.